Minimizing sequences of variational problems with small parameters

Ming Kang Ni; Wu Zhong Lin

doi:10.1007/s10483-009-0603-z

Minimizing sequences of variational problems with small parameters

Ming Kang Ni^*
, Wu Zhong Lin

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University
Shanghai Jiao Tong University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

A class of variational problems with small parameters is studied. Their zeroth-order asymptotic solutions are constructed. It is shown that the zeroth-order asymptotic solution is just the minimizing sequence of variational problems as the small parameter approaches to zero.

Original language	English
Pages (from-to)	695-701
Number of pages	7
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	30
Issue number	6
DOIs	https://doi.org/10.1007/s10483-009-0603-z
State	Published - Jun 2009

Keywords

Minimizing sequence
Small parameter
Variational problem

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10.1007/s10483-009-0603-z

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title = "Minimizing sequences of variational problems with small parameters",

abstract = "A class of variational problems with small parameters is studied. Their zeroth-order asymptotic solutions are constructed. It is shown that the zeroth-order asymptotic solution is just the minimizing sequence of variational problems as the small parameter approaches to zero.",

keywords = "Minimizing sequence, Small parameter, Variational problem",

author = "Ni, \{Ming Kang\} and Lin, \{Wu Zhong\}",

year = "2009",

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journal = "Applied Mathematics and Mechanics (English Edition)",

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AU - Lin, Wu Zhong

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N2 - A class of variational problems with small parameters is studied. Their zeroth-order asymptotic solutions are constructed. It is shown that the zeroth-order asymptotic solution is just the minimizing sequence of variational problems as the small parameter approaches to zero.

AB - A class of variational problems with small parameters is studied. Their zeroth-order asymptotic solutions are constructed. It is shown that the zeroth-order asymptotic solution is just the minimizing sequence of variational problems as the small parameter approaches to zero.

KW - Minimizing sequence

KW - Small parameter

KW - Variational problem

UR - https://www.scopus.com/pages/publications/67649921940

U2 - 10.1007/s10483-009-0603-z

DO - 10.1007/s10483-009-0603-z

M3 - 文章

AN - SCOPUS:67649921940

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JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 6

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Minimizing sequences of variational problems with small parameters

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Keywords

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